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AMC 12 Cheat Sheet 2026

The 30 highest-yield AMC 12 facts, distilled from real exam questions. Print it, save it as a PDF, or study it here β€” free, no sign-up.

30 questions
75 min time limit
60.00% to pass
  1. What is the value of (5 Γ— 6) Γ· 2? β†’ 15
  2. What is the probability of rolling a sum of 7 with two fair dice? β†’ 1/6
  3. For how many distinct real values of x does f(x) = xΒ³ - 4x = 0? β†’ 3
  4. In an arithmetic sequence with a₁ = 5 and common difference d = 3, what is a₁₀? β†’ 32
  5. How should family engagement support classroom management? β†’ Building partnerships with families enhances student learning outcomes
  6. Which expression correctly states the sine angle-addition formula? β†’ sin AΒ·cos B + cos AΒ·sin B
  7. Which assessment method best supports professional development? β†’ Using multiple formative and summative assessments to guide instruction
  8. If a fair die is rolled, what is the probability of rolling an even number? β†’ 1/2
  9. How should family engagement support learning theories? β†’ Building partnerships with families enhances student learning outcomes
  10. What is the period of f(x) = sin(2x)? β†’ Ο€
  11. The series 1 βˆ’ 1 + 1 βˆ’ 1 + … is best described as: β†’ divergent
  12. What is the argument (principal angle) of the complex number βˆ’1 + i? β†’ 3Ο€/4
  13. What is lim(x→0) of sin(x)/x? → 1
  14. How should differentiation be applied in special populations? β†’ Instruction is adapted based on student readiness, interest, and learning profile
  15. What is the quadratic formula used to solve axΒ² + bx + c = 0? β†’ -b Β± √(bΒ² - 4ac) / 2a
  16. If a fair coin is tossed 3 times, what is the probability of getting exactly 2 heads? β†’ 3/8
  17. What is the primary goal of classroom management in educational settings? β†’ Supporting diverse learner needs and maximizing student achievement
  18. In a right triangle, if the lengths of the legs are 6 and 8, what is the length of the hypotenuse? β†’ Hypotenuse = 10
  19. In how many ways can you distribute 5 identical objects into 3 distinct boxes? β†’ 21
  20. What is the imaginary part of z = 4e^(iΟ€/3)? β†’ 2√3
  21. For the rational function f(x) = (2xΒ² + 3)/(xΒ² - 1), the horizontal asymptote is: β†’ y = 2
  22. What role does data play in special populations decisions? β†’ Data from multiple sources informs instructional planning and intervention
  23. How should differentiation be applied in professional development? β†’ Instruction is adapted based on student readiness, interest, and learning profile
  24. What professional development practice supports learning theories? β†’ Ongoing, job-embedded professional learning connected to classroom practice
  25. What is the sum of the arithmetic series 1 + 2 + 3 + … + 100? β†’ 5050
  26. What is the area of a trapezoid with bases of length 6 and 8, and height 5? β†’ Area = 35
  27. How should differentiation be applied in curriculum development? β†’ Instruction is adapted based on student readiness, interest, and learning profile
  28. The polynomial x⁴ + xΒ² + 1 has how many real roots? β†’ 0
  29. Which assessment method best supports curriculum development? β†’ Using multiple formative and summative assessments to guide instruction
  30. How should family engagement support curriculum development? β†’ Building partnerships with families enhances student learning outcomes
Turn these facts into recall:
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